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Find the laplace transform of the functions

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Reference no: EM131240197 , Length:

LAPLACE QUESTIONS TO BE SOLVED USING MATLAB

Part 1

Q. 1 Find the Laplace transforms of the following functions:

(a) t2 + at + b and (b) sin(2nΠt / T )

Q. 2 Find f(t) f for the following F(s) = α[f(t)].

(i) 5/s + 3, (ii) 1/s2 + 25 , (iii) 1/s(s + 1)

Q. 3  Find the Laplace transform of the following functions.

(i) teat, (ii) cos23t

Q.4 Show that α[t cosωt] = s2 - ω2/(s2 + ω2 )2

Part 2

Q.1(a) Find the Laplace transform of eat sin ωt .

Q.2 Find the Laplace transform of the following:

(i) etsin t, (ii) e-t sin(ωt + θ ) , (iii) 2t3 e-t/2.

Q. 3 Find f (t) for the following F (s) = α[ f (t)].

(i) Π/(s+Π)2, (ii) s-2/(s2 -4s + 5) , (iii) s/(s + 3)2 + 1

Q. 4 Find the Laplace transform of

cosh at cos at.

Q.5 Using Matlab and Laplace transform, find the solution of the following differential equation:

5 y' + 2y = sin t

Verified Expert

This assignment contain the solution for the question on the Laplace transform. The question solve both with and without using MATLAB. Also it has been noticed that there are two question are marked as 1, 2, 3 and 4 so i have used 1a, 2a, 3a and 4a for the question that came later in the assignment.The written part is done in Microsoft and equation are written using mathtype and code are written in matlab if any query kindly contact me.

Reference no: EM131240197

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Reviews

inf1240197

10/19/2016 8:48:08 AM

i was expecting this only, great work. thanks for providing individual matlab file for each and every question. i am new to this concept so was confused whether you have provided me correct solution or not, but after getting grades, i can say you are best. thanks a lot.

inf1240197

10/19/2016 8:46:42 AM

I need questions to be solved using Matlab. The answers should be solved using matlab. Can you please ask expert to provide the solutions in Matlab as I need it? This is urgent please.

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